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Finding the Fourth Proportional to 299,791.24, 449,676.13 and 75,153.52

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Solution

The fourth proportional to 299,791.24, 449,676.13 and 75,153.52 is: 112,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,791.24 : 449,676.13 = 75,153.52 : x
  2. Step 2: Convert to fraction form
    299,791.24/449,676.13 = 75,153.52/x
  3. Step 3: Cross multiply
    299,791.24x = 449,676.13 × 75,153.52
  4. Step 4: Simplify right side
    299,791.24x = 33,794,744,029.48
  5. Step 5: Solve for x
    x = 33,794,744,029.48/299,791.24
  6. Step 6: Final answer
    x = 112,727.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.